FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1995, VOLUME 1, NUMBER 3, PAGES 641-648

The main series of nonhomogeneous systems of hydrodynamic type with constant matrices possessing $1^{st}$ order conservation laws

E.I.Ganzha

Let u_tⁱ = v_i u_xⁱ + f_i(u), i = 1,...,n$ be a system of PDE with constant v_i. We give a classification of such systems possessing nontrivial conservation laws dg(u,u_x)/dt = dh(u,u_x)/dx and their explicit form for two main series. The third (and the last) main series is shown to be nontrivial. Some examples of such systems are new.

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Last modified: October 3, 1997.